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Finding the Third Proportional to 186,685.50 and 409,659

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Solution

The third proportional to 186,685.50 and 409,659 is: 898,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,685.50 : 409,659 = 409,659 : x
  2. Step 2: Convert to fraction form
    186,685.50/409,659 = 409,659/x
  3. Step 3: Cross multiply
    186,685.50x = 409,659 × 409,659
  4. Step 4: Simplify right side
    186,685.50x = 167,820,496,281
  5. Step 5: Solve for x
    x = 167,820,496,281/186,685.50
  6. Step 6: Final answer
    x = 898,947.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.